101211210002100 has 144 divisors (see below), whose sum is σ = 323308291944960. Its totient is φ = 24240435772800.

The previous prime is 101211210002081. The next prime is 101211210002107. The reversal of 101211210002100 is 1200012112101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211210002107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184485520 + ... + 185033319.

It is an arithmetic number, because the mean of its divisors is an integer number (2245196471840).

Almost surely, 2^{101211210002100} is an apocalyptic number.

101211210002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211210002100 is an abundant number, since it is smaller than the sum of its proper divisors (222097081942860).

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

101211210002100 is a wasteful number, since it uses less digits than its factorization.

101211210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369518950 (or 369518943 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211210002100 its reverse (1200012112101), we get a palindrome (102411222114201).

The spelling of 101211210002100 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, two thousand, one hundred".