101011102211120 has 40 divisors (see below), whose sum is σ = 239281960059216. Its totient is φ = 39642092941568.

The previous prime is 101011102211081. The next prime is 101011102211177. The reversal of 101011102211120 is 21112201110101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101011102211095 and 101011102211104.

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, 11911682342 + ... + 11911690821.

Almost surely, 2^{101011102211120} is an apocalyptic number.

101011102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011102211120 is an abundant number, since it is smaller than the sum of its proper divisors (138270857848096).

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

101011102211120 is a wasteful number, since it uses less digits than its factorization.

101011102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23823373229 (or 23823373223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011102211120 its reverse (21112201110101), we get a palindrome (122123303321221).

The spelling of 101011102211120 in words is "one hundred one trillion, eleven billion, one hundred two million, two hundred eleven thousand, one hundred twenty".