101022001002100 has 36 divisors (see below), whose sum is σ = 219274667898048. Its totient is φ = 40398307180000.

The previous prime is 101022001002089. The next prime is 101022001002199. The reversal of 101022001002100 is 1200100220101.

It is a super-3 number, since 3×101022001002100³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130778236 + ... + 131548435.

It is an arithmetic number, because the mean of its divisors is an integer number (6090962997168).

Almost surely, 2^{101022001002100} is an apocalyptic number.

101022001002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022001002100 is an abundant number, since it is smaller than the sum of its proper divisors (118252666895948).

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

101022001002100 is a wasteful number, since it uses less digits than its factorization.

101022001002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262330536 (or 262330529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022001002100 its reverse (1200100220101), we get a palindrome (102222101222201).

The spelling of 101022001002100 in words is "one hundred one trillion, twenty-two billion, one million, two thousand, one hundred".