101002000012120 has 64 divisors (see below), whose sum is σ = 253286749288800. Its totient is φ = 36023004334080.

The previous prime is 101002000012117. The next prime is 101002000012127. The reversal of 101002000012120 is 21210000200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101002000012097 and 101002000012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002000012127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3908733211 + ... + 3908759050.

Almost surely, 2^{101002000012120} is an apocalyptic number.

101002000012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002000012120 is an abundant number, since it is smaller than the sum of its proper divisors (152284749276680).

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

101002000012120 is a wasteful number, since it uses less digits than its factorization.

101002000012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817492308 (or 7817492304 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002000012120 its reverse (21210000200101), we get a palindrome (122212000212221).

The spelling of 101002000012120 in words is "one hundred one trillion, two billion, twelve thousand, one hundred twenty".