101101002120 has 80 divisors (see below), whose sum is σ = 339811712460. Its totient is φ = 26960266368.

The previous prime is 101101002109. The next prime is 101101002139. The reversal of 101101002120 is 21200101101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99531416196 + 1569585924 = 315486^2 + 39618^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15598767 + ... + 15605246.

Almost surely, 2^101101002120 is an apocalyptic number.

101101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101002120 is an abundant number, since it is smaller than the sum of its proper divisors (238710710340).

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

101101002120 is a wasteful number, since it uses less digits than its factorization.

101101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31204036 (or 31204023 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101101002120 its reverse (21200101101), we get a palindrome (122301103221).

The spelling of 101101002120 in words is "one hundred one billion, one hundred one million, two thousand, one hundred twenty".