101202101210100 has 144 divisors (see below), whose sum is σ = 319440890474496. Its totient is φ = 24533054832000.

The previous prime is 101202101210081. The next prime is 101202101210131. The reversal of 101202101210100 is 1012101202101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105753967 + ... + 106706633.

It is an arithmetic number, because the mean of its divisors is an integer number (2218339517184).

Almost surely, 2^{101202101210100} is an apocalyptic number.

101202101210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202101210100 is an abundant number, since it is smaller than the sum of its proper divisors (218238789264396).

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

101202101210100 is a wasteful number, since it uses less digits than its factorization.

101202101210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984886 (or 984879 counting only the distinct ones).

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

Adding to 101202101210100 its reverse (1012101202101), we get a palindrome (102214202412201).

The spelling of 101202101210100 in words is "one hundred one trillion, two hundred two billion, one hundred one million, two hundred ten thousand, one hundred".