101010001122100 has 36 divisors (see below), whose sum is σ = 250504802784544. Its totient is φ = 34632000384480.

The previous prime is 101010001122077. The next prime is 101010001122103. The reversal of 101010001122100 is 1221100010101.

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 (101010001122103) 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, 72150000102 + ... + 72150001501.

Almost surely, 2^{101010001122100} is an apocalyptic number.

101010001122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010001122100 is an abundant number, since it is smaller than the sum of its proper divisors (149494801662444).

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

101010001122100 is a wasteful number, since it uses less digits than its factorization.

101010001122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144300001624 (or 144300001617 counting only the distinct ones).

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

Adding to 101010001122100 its reverse (1221100010101), we get a palindrome (102231101132201).

The spelling of 101010001122100 in words is "one hundred one trillion, ten billion, one million, one hundred twenty-two thousand, one hundred".