101020201212100 has 36 divisors (see below), whose sum is σ = 219214531122048. Its totient is φ = 40407952468000.

The previous prime is 101020201212071. The next prime is 101020201212107. The reversal of 101020201212100 is 1212102020101.

It is not an unprimeable number, because it can be changed into a prime (101020201212107) 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, 34080405 + ... + 36925795.

It is an arithmetic number, because the mean of its divisors is an integer number (6089292531168).

Almost surely, 2^{101020201212100} is an apocalyptic number.

101020201212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020201212100 is an abundant number, since it is smaller than the sum of its proper divisors (118194329909948).

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

101020201212100 is a wasteful number, since it uses less digits than its factorization.

101020201212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200436 (or 3200429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020201212100 its reverse (1212102020101), we get a palindrome (102232303232201).

The spelling of 101020201212100 in words is "one hundred one trillion, twenty billion, two hundred one million, two hundred twelve thousand, one hundred".