1012100101011 has 12 divisors (see below), whose sum is σ = 1538865650920. Its totient is φ = 639221116320.

The previous prime is 1012100100989. The next prime is 1012100101031. The reversal of 1012100101011 is 1101010012101.

It is not a de Polignac number, because 1012100101011 - 2¹⁰ = 1012100099987 is a prime.

It is a super-2 number, since 2×1012100101011² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012100100984 and 1012100101002.

It is not an unprimeable number, because it can be changed into a prime (1012100101031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2959356850 + ... + 2959357191.

Almost surely, 2^{1012100101011} is an apocalyptic number.

1012100101011 is a deficient number, since it is larger than the sum of its proper divisors (526765549909).

1012100101011 is a wasteful number, since it uses less digits than its factorization.

1012100101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918714066 (or 5918714063 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1012100101011 its reverse (1101010012101), we get a palindrome (2113110113112).

It can be divided in two parts, 1012100 and 101011, that added together give a palindrome (1113111).

The spelling of 1012100101011 in words is "one trillion, twelve billion, one hundred million, one hundred one thousand, eleven".