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102122122020212 = 227231101166410487
BaseRepresentation
bin10111001110000100101000…
…110011101000010101110100
3111101120210001021021210020102
4113032010220303220111310
5101341132101214121322
61001110131042253232
730340036245531500
oct2716045063502564
9441523037253212
10102122122020212
112a5a2826620298
12b553b50057218
1344ca0c83c2328
141b30a46787300
15bc166dbb9792
hex5ce128ce8574

102122122020212 has 72 divisors (see below), whose sum is σ = 216722369299968. Its totient is φ = 41935442472000.

The previous prime is 102122122020161. The next prime is 102122122020221. The reversal of 102122122020212 is 212020221221201.

It is a super-2 number, since 2×1021221220202122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82591568 + ... + 83818919.

It is an arithmetic number, because the mean of its divisors is an integer number (3010032906944).

Almost surely, 2102122122020212 is an apocalyptic number.

It is an amenable number.

102122122020212 is an abundant number, since it is smaller than the sum of its proper divisors (114600247279756).

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

102122122020212 is a wasteful number, since it uses less digits than its factorization.

102122122020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166410637 (or 166410628 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102122122020212 its reverse (212020221221201), we get a palindrome (314142343241413).

The spelling of 102122122020212 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 49 62 98 101 124 196 202 217 404 434 707 868 1414 1519 2828 3038 3131 4949 6076 6262 9898 12524 19796 21917 43834 87668 153419 306838 613676 166410487 332820974 665641948 1164873409 2329746818 4659493636 5158725097 8154113863 10317450194 16308227726 16807459187 20634900388 32616455452 33614918374 36111075679 67229836748 72222151358 117652214309 144444302716 235304428618 252777529753 470608857236 505555059506 521031234797 823565500163 1011110119012 1042062469594 1647131000326 2084124939188 3294262000652 3647218643579 7294437287158 14588874574316 25530530505053 51061061010106 102122122020212