101211202000000 has 112 divisors (see below), whose sum is σ = 252036393228810. Its totient is φ = 40484480000000.

The previous prime is 101211201999959. The next prime is 101211202000009. The reversal of 101211202000000 is 202112101.

It can be written as a sum of positive squares in 7 ways, for example, as 38009592396864 + 63201609603136 = 6165192^2 + 7949944^2 .

It is a super-3 number, since 3×101211202000000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101211202000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23302801 + ... + 27302800.

Almost surely, 2^{101211202000000} is an apocalyptic number.

101211202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211202000000 is an abundant number, since it is smaller than the sum of its proper divisors (150825191228810).

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

101211202000000 is an frugal number, since it uses more digits than its factorization.

101211202000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50605645 (or 50605608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101211202000000 its reverse (202112101), we get a palindrome (101211404112101).

The spelling of 101211202000000 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million", and thus it is an aban number.