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101021202000212 = 22136131847793821
BaseRepresentation
bin10110111110000011010100…
…110111000010100101010100
3111020200112101021001011022212
4112332003110313002211110
5101220112410203001322
6554504255521412552
730164353363004054
oct2676032467024524
9436615337034285
10101021202000212
112a20893aa0369a
12b3b670419a158
13444a348b31130
141ad3649031564
15ba2bd75850e2
hex5be0d4dc2954

101021202000212 has 24 divisors (see below), whose sum is σ = 193507195262472. Its totient is φ = 45860823100800.

The previous prime is 101021202000181. The next prime is 101021202000217. The reversal of 101021202000212 is 212000202120101.

It can be written as a sum of positive squares in 4 ways, for example, as 981117984196 + 100040084016016 = 990514^2 + 10002004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021202000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15923893739 + ... + 15923900082.

It is an arithmetic number, because the mean of its divisors is an integer number (8062799802603).

Almost surely, 2101021202000212 is an apocalyptic number.

It is an amenable number.

101021202000212 is a deficient number, since it is larger than the sum of its proper divisors (92485993262260).

101021202000212 is a wasteful number, since it uses less digits than its factorization.

101021202000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31847793899 (or 31847793897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101021202000212 its reverse (212000202120101), we get a palindrome (313021404120313).

The spelling of 101021202000212 in words is "one hundred one trillion, twenty-one billion, two hundred two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 13 26 52 61 122 244 793 1586 3172 31847793821 63695587642 127391175284 414021319673 828042639346 1656085278692 1942715423081 3885430846162 7770861692324 25255300500053 50510601000106 101021202000212