101021011012100 has 18 divisors (see below), whose sum is σ = 219215593896474. Its totient is φ = 40408404404800.

The previous prime is 101021011011967. The next prime is 101021011012127. The reversal of 101021011012100 is 1210110120101.

It can be written as a sum of positive squares in 3 ways, for example, as 34027178891524 + 66993832120576 = 5833282^2 + 8184976^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 505105054961 + ... + 505105055160.

Almost surely, 2^{101021011012100} is an apocalyptic number.

101021011012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021011012100 is an abundant number, since it is smaller than the sum of its proper divisors (118194582884374).

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

101021011012100 is a wasteful number, since it uses less digits than its factorization.

101021011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010210110135 (or 1010210110128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021011012100 its reverse (1210110120101), we get a palindrome (102231121132201).

The spelling of 101021011012100 in words is "one hundred one trillion, twenty-one billion, eleven million, twelve thousand, one hundred".