101210020102100 has 144 divisors (see below), whose sum is σ = 270411803120256. Its totient is φ = 32019074496000.

The previous prime is 101210020102091. The next prime is 101210020102109. The reversal of 101210020102100 is 1201020012101.

It is an interprime number because it is at equal distance from previous prime (101210020102091) and next prime (101210020102109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210020102109) 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, 21729395 + ... + 25972805.

Almost surely, 2^{101210020102100} is an apocalyptic number.

101210020102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210020102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135205901560128).

101210020102100 is an abundant number, since it is smaller than the sum of its proper divisors (169201783018156).

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

101210020102100 is a wasteful number, since it uses less digits than its factorization.

101210020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246066 (or 4246059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210020102100 its reverse (1201020012101), we get a palindrome (102411040114201).

The spelling of 101210020102100 in words is "one hundred one trillion, two hundred ten billion, twenty million, one hundred two thousand, one hundred".