101020011211100 has 72 divisors (see below), whose sum is σ = 219334521046368. Its totient is φ = 40385688422400.

The previous prime is 101020011211069. The next prime is 101020011211111. The reversal of 101020011211100 is 1112110020101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1538569472 + ... + 1538635128.

Almost surely, 2^{101020011211100} is an apocalyptic number.

101020011211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020011211100 is an abundant number, since it is smaller than the sum of its proper divisors (118314509835268).

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

101020011211100 is a wasteful number, since it uses less digits than its factorization.

101020011211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73935 (or 73928 counting only the distinct ones).

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

Adding to 101020011211100 its reverse (1112110020101), we get a palindrome (102132121231201).

The spelling of 101020011211100 in words is "one hundred one trillion, twenty billion, eleven million, two hundred eleven thousand, one hundred".