101000012121112 has 16 divisors (see below), whose sum is σ = 203942332167840. Its totient is φ = 46615390209696.

The previous prime is 101000012121079. The next prime is 101000012121137. The reversal of 101000012121112 is 211121210000101.

It is a happy number.

It is a super-2 number, since 2×101000012121112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101000012121092 and 101000012121101.

It is a congruent number.

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, 485576981248 + ... + 485576981455.

It is an arithmetic number, because the mean of its divisors is an integer number (12746395760490).

Almost surely, 2^{101000012121112} is an apocalyptic number.

It is an amenable number.

101000012121112 is an abundant number, since it is smaller than the sum of its proper divisors (102942320046728).

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

101000012121112 is a wasteful number, since it uses less digits than its factorization.

101000012121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971153962722 (or 971153962718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101000012121112 its reverse (211121210000101), we get a palindrome (312121222121213).

The spelling of 101000012121112 in words is "one hundred one trillion, twelve million, one hundred twenty-one thousand, one hundred twelve".