101002000022120 has 16 divisors (see below), whose sum is σ = 227254500049860. Its totient is φ = 40400800008832.

The previous prime is 101002000022111. The next prime is 101002000022141. The reversal of 101002000022120 is 21220000200101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97583221210084 + 3418778812036 = 9878422^2 + 1848994^2 .

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, 1262525000237 + ... + 1262525000316.

Almost surely, 2^{101002000022120} is an apocalyptic number.

101002000022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002000022120 is an abundant number, since it is smaller than the sum of its proper divisors (126252500027740).

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

101002000022120 is a wasteful number, since it uses less digits than its factorization.

101002000022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525050000564 (or 2525050000560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101002000022120 its reverse (21220000200101), we get a palindrome (122222000222221).

The spelling of 101002000022120 in words is "one hundred one trillion, two billion, twenty-two thousand, one hundred twenty".