101012111122112 has 56 divisors (see below), whose sum is σ = 213588671164704. Its totient is φ = 47232339628032.

The previous prime is 101012111122103. The next prime is 101012111122121. The reversal of 101012111122112 is 211221111210101.

It is an interprime number because it is at equal distance from previous prime (101012111122103) and next prime (101012111122121).

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 295504388 + ... + 295846019.

Almost surely, 2^{101012111122112} is an apocalyptic number.

It is an amenable number.

101012111122112 is an abundant number, since it is smaller than the sum of its proper divisors (112576560042592).

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

101012111122112 is a wasteful number, since it uses less digits than its factorization.

101012111122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591350593 (or 591350583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101012111122112 its reverse (211221111210101), we get a palindrome (312233222332213).

The spelling of 101012111122112 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".