101021000012100 has 216 divisors, whose sum is σ = 362622761574528. Its totient is φ = 23043099801600.

The previous prime is 101021000012099. The next prime is 101021000012129. The reversal of 101021000012100 is 1210000120101.

It is a happy number.

101021000012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13395021 + ... + 19531220.

Almost surely, 2^{101021000012100} is an apocalyptic number.

101021000012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021000012100 is an abundant number, since it is smaller than the sum of its proper divisors (261601761562428).

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

101021000012100 is a wasteful number, since it uses less digits than its factorization.

101021000012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32926755 (or 32926745 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101021000012100 its reverse (1210000120101), we get a palindrome (102231000132201).

The spelling of 101021000012100 in words is "one hundred one trillion, twenty-one billion, twelve thousand, one hundred".