101202001022112 has 96 divisors (see below), whose sum is σ = 265746893973120. Its totient is φ = 33722365608960.

The previous prime is 101202001022093. The next prime is 101202001022131. The reversal of 101202001022112 is 211220100202101.

It is an interprime number because it is at equal distance from previous prime (101202001022093) and next prime (101202001022131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 101202001022091 and 101202001022100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5276149162 + ... + 5276168342.

It is an arithmetic number, because the mean of its divisors is an integer number (2768196812220).

Almost surely, 2^{101202001022112} is an apocalyptic number.

101202001022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202001022112 is an abundant number, since it is smaller than the sum of its proper divisors (164544892951008).

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

101202001022112 is a wasteful number, since it uses less digits than its factorization.

101202001022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35286 (or 35278 counting only the distinct ones).

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

Adding to 101202001022112 its reverse (211220100202101), we get a palindrome (312422101224213).

The spelling of 101202001022112 in words is "one hundred one trillion, two hundred two billion, one million, twenty-two thousand, one hundred twelve".