101011000101102 has 48 divisors (see below), whose sum is σ = 269362666940640. Its totient is φ = 26640263762496.

The previous prime is 101011000101079. The next prime is 101011000101113. The reversal of 101011000101102 is 201101000110101.

It is a super-2 number, since 2×101011000101102² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30833636977 + ... + 30833640252.

It is an arithmetic number, because the mean of its divisors is an integer number (5611722227930).

Almost surely, 2^{101011000101102} is an apocalyptic number.

101011000101102 is an abundant number, since it is smaller than the sum of its proper divisors (168351666839538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011000101102 is a wasteful number, since it uses less digits than its factorization.

101011000101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61667277257 (or 61667277254 counting only the distinct ones).

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

Adding to 101011000101102 its reverse (201101000110101), we get a palindrome (302112000211203).

The spelling of 101011000101102 in words is "one hundred one trillion, eleven billion, one hundred one thousand, one hundred two".