101121201000112 has 40 divisors (see below), whose sum is σ = 201926583460800. Its totient is φ = 49030853617152.

The previous prime is 101121201000049. The next prime is 101121201000137. The reversal of 101121201000112 is 211000102121101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101121201000092 and 101121201000101.

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, 616751437 + ... + 616915372.

It is an arithmetic number, because the mean of its divisors is an integer number (5048164586520).

Almost surely, 2^{101121201000112} is an apocalyptic number.

It is an amenable number.

101121201000112 is a deficient number, since it is larger than the sum of its proper divisors (100805382460688).

101121201000112 is a wasteful number, since it uses less digits than its factorization.

101121201000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233666973 (or 1233666967 counting only the distinct ones).

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

Adding to 101121201000112 its reverse (211000102121101), we get a palindrome (312121303121213).

The spelling of 101121201000112 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve", and thus it is an aban number.