101120001020100 has 216 divisors, whose sum is σ = 335509733919360. Its totient is φ = 25430017616640.

The previous prime is 101120001020069. The next prime is 101120001020119. The reversal of 101120001020100 is 1020100021101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43928044 + ... + 46172643.

Almost surely, 2^{101120001020100} is an apocalyptic number.

101120001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120001020100 is an abundant number, since it is smaller than the sum of its proper divisors (234389732899260).

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

101120001020100 is a wasteful number, since it uses less digits than its factorization.

101120001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90100779 (or 90100769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120001020100 its reverse (1020100021101), we get a palindrome (102140101041201).

The spelling of 101120001020100 in words is "one hundred one trillion, one hundred twenty billion, one million, twenty thousand, one hundred".