101012111012 has 6 divisors (see below), whose sum is σ = 176771194278. Its totient is φ = 50506055504.

The previous prime is 101012111003. The next prime is 101012111029. The reversal of 101012111012 is 210111210101.

It can be written as a sum of positive squares in only one way, i.e., 80761682596 + 20250428416 = 284186^2 + 142304^2 .

It is a super-2 number, since 2×101012111012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012110984 and 101012111002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12626513873 + ... + 12626513880.

It is an arithmetic number, because the mean of its divisors is an integer number (29461865713).

Almost surely, 2^101012111012 is an apocalyptic number.

It is an amenable number.

101012111012 is a deficient number, since it is larger than the sum of its proper divisors (75759083266).

101012111012 is a wasteful number, since it uses less digits than its factorization.

101012111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25253027757 (or 25253027755 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101012111012 its reverse (210111210101), we get a palindrome (311123321113).

The spelling of 101012111012 in words is "one hundred one billion, twelve million, one hundred eleven thousand, twelve".