101211000202000 has 120 divisors (see below), whose sum is σ = 265001541260040. Its totient is φ = 37370215334400.

The previous prime is 101211000201979. The next prime is 101211000202001. The reversal of 101211000202000 is 202000112101.

It can be written as a sum of positive squares in 12 ways, for example, as 95002371511056 + 6208628690944 = 9746916^2 + 2491712^2 .

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 (101211000202001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149382415 + ... + 150058414.

It is an arithmetic number, because the mean of its divisors is an integer number (2208346177167).

Almost surely, 2^{101211000202000} is an apocalyptic number.

101211000202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211000202000 is an abundant number, since it is smaller than the sum of its proper divisors (163790541058040).

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

101211000202000 is a wasteful number, since it uses less digits than its factorization.

101211000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299440878 (or 299440849 counting only the distinct ones).

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

Adding to 101211000202000 its reverse (202000112101), we get a palindrome (101413000314101).

The spelling of 101211000202000 in words is "one hundred one trillion, two hundred eleven billion, two hundred two thousand".