1020112012101 has 32 divisors (see below), whose sum is σ = 1674184492288. Its totient is φ = 538031393280.

The previous prime is 1020112012063. The next prime is 1020112012111. The reversal of 1020112012101 is 1012102110201.

It is not a de Polignac number, because 1020112012101 - 2⁷ = 1020112011973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112012111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2889921 + ... + 3223641.

It is an arithmetic number, because the mean of its divisors is an integer number (52318265384).

Almost surely, 2^{1020112012101} is an apocalyptic number.

It is an amenable number.

1020112012101 is a deficient number, since it is larger than the sum of its proper divisors (654072480187).

1020112012101 is a wasteful number, since it uses less digits than its factorization.

1020112012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344941.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1020112012101 its reverse (1012102110201), we get a palindrome (2032214122302).

It can be divided in two parts, 102011 and 2012101, that added together give a palindrome (2114112).

The spelling of 1020112012101 in words is "one trillion, twenty billion, one hundred twelve million, twelve thousand, one hundred one".