101202122102100 has 36 divisors (see below), whose sum is σ = 292811473282944. Its totient is φ = 26987232560480.

The previous prime is 101202122102087. The next prime is 101202122102101. The reversal of 101202122102100 is 1201221202101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101202122102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202122102101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168670203204 + ... + 168670203803.

Almost surely, 2^{101202122102100} is an apocalyptic number.

101202122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202122102100 is an abundant number, since it is smaller than the sum of its proper divisors (191609351180844).

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

101202122102100 is a wasteful number, since it uses less digits than its factorization.

101202122102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337340407024 (or 337340407017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101202122102100 its reverse (1201221202101), we get a palindrome (102403343304201).

The spelling of 101202122102100 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred".