101210002120 has 16 divisors (see below), whose sum is σ = 227722504860. Its totient is φ = 40484000832.

The previous prime is 101210002099. The next prime is 101210002141. The reversal of 101210002120 is 21200012101.

It is an interprime number because it is at equal distance from previous prime (101210002099) and next prime (101210002141).

It can be written as a sum of positive squares in 2 ways, for example, as 96742149156 + 4467852964 = 311034^2 + 66842^2 .

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 = 101210002097 and 101210002106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1265124987 + ... + 1265125066.

Almost surely, 2^101210002120 is an apocalyptic number.

101210002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210002120 is an abundant number, since it is smaller than the sum of its proper divisors (126512502740).

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

101210002120 is a wasteful number, since it uses less digits than its factorization.

101210002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530250064 (or 2530250060 counting only the distinct ones).

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

Adding to 101210002120 its reverse (21200012101), we get a palindrome (122410014221).

The spelling of 101210002120 in words is "one hundred one billion, two hundred ten million, two thousand, one hundred twenty".