101011010022100 has 18 divisors (see below), whose sum is σ = 219193891748174. Its totient is φ = 40404404008800.

The previous prime is 101011010022017. The next prime is 101011010022103. The reversal of 101011010022100 is 1220010110101.

It can be written as a sum of positive squares in 3 ways, for example, as 285940450756 + 100725069571344 = 534734^2 + 10036188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011010022103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505055050011 + ... + 505055050210.

Almost surely, 2^{101011010022100} is an apocalyptic number.

101011010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011010022100 is an abundant number, since it is smaller than the sum of its proper divisors (118182881726074).

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

101011010022100 is a wasteful number, since it uses less digits than its factorization.

101011010022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010110100235 (or 1010110100228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101011010022100 its reverse (1220010110101), we get a palindrome (102231020132201).

The spelling of 101011010022100 in words is "one hundred one trillion, eleven billion, ten million, twenty-two thousand, one hundred".