101000001002120 has 32 divisors (see below), whose sum is σ = 247909093369920. Its totient is φ = 36727273091520.

The previous prime is 101000001002107. The next prime is 101000001002191. The reversal of 101000001002120 is 21200100000101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101000001002098 and 101000001002107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114772727972 + ... + 114772728851.

It is an arithmetic number, because the mean of its divisors is an integer number (7747159167810).

Almost surely, 2^{101000001002120} is an apocalyptic number.

101000001002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000001002120 is an abundant number, since it is smaller than the sum of its proper divisors (146909092367800).

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

101000001002120 is a wasteful number, since it uses less digits than its factorization.

101000001002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229545456845 (or 229545456841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101000001002120 its reverse (21200100000101), we get a palindrome (122200101002221).

The spelling of 101000001002120 in words is "one hundred one trillion, one million, two thousand, one hundred twenty".