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102120202011212 = 227111672983766541
BaseRepresentation
bin10111001110000010110110…
…010111011000001001001100
3111101120121002110110020000222
4113032002312113120021030
5101341114133203324322
61001105212334010512
730336640542654560
oct2716026627301114
9441517073406028
10102120202011212
112a5a1a308490a0
12b5536b5046a38
1344c9b806a4228
141b309037916a0
15bc15aa357e42
hex5ce0b65d824c

102120202011212 has 96 divisors (see below), whose sum is σ = 224152772207616. Its totient is φ = 39546925804800.

The previous prime is 102120202011167. The next prime is 102120202011251. The reversal of 102120202011212 is 212110202021201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534662662 + ... + 1534729202.

It is an arithmetic number, because the mean of its divisors is an integer number (2334924710496).

Almost surely, 2102120202011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120202011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112076386103808).

102120202011212 is an abundant number, since it is smaller than the sum of its proper divisors (122032570196404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102120202011212 is a wasteful number, since it uses less digits than its factorization.

102120202011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96567 (or 96565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102120202011212 its reverse (212110202021201), we get a palindrome (314230404032413).

The spelling of 102120202011212 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 3674 4676 7348 12859 25718 29837 51436 59674 66541 119348 133082 208859 266164 328207 417718 465787 656414 731951 835436 931574 1312828 1463902 1863148 2297449 2927804 4594898 4982779 5123657 9189796 9965558 10247314 11112347 19931116 20494628 22224694 34879453 44449388 54810569 69758906 77786429 109621138 122235817 139517812 155572858 219242276 244471634 311145716 383673983 488943268 767347966 855650719 1534695932 1711301438 1985383817 3422602876 3970767634 7941535268 13897686719 21839221987 27795373438 43678443974 55590746876 87356887948 152874553909 305749107818 331559097439 611498215636 663118194878 1326236389756 2320913682073 3647150071829 4641827364146 7294300143658 9283654728292 14588600287316 25530050502803 51060101005606 102120202011212