1011100102101 has 48 divisors (see below), whose sum is σ = 1495167336000. Its totient is φ = 658186004736.

The previous prime is 1011100102079. The next prime is 1011100102147. The reversal of 1011100102101 is 1012010011101.

It is not a de Polignac number, because 1011100102101 - 2¹³ = 1011100093909 is a prime.

It is a super-2 number, since 2×1011100102101² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86420350 + ... + 86432048.

It is an arithmetic number, because the mean of its divisors is an integer number (31149319500).

Almost surely, 2^{1011100102101} is an apocalyptic number.

It is an amenable number.

1011100102101 is a deficient number, since it is larger than the sum of its proper divisors (484067233899).

1011100102101 is a wasteful number, since it uses less digits than its factorization.

1011100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12610 (or 12607 counting only the distinct ones).

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

Adding to 1011100102101 its reverse (1012010011101), we get a palindrome (2023110113202).

The spelling of 1011100102101 in words is "one trillion, eleven billion, one hundred million, one hundred two thousand, one hundred one".