21021106697100 has 288 divisors, whose sum is σ = 69033848217600. Its totient is φ = 5485005849600.

The previous prime is 21021106697093. The next prime is 21021106697111. The reversal of 21021106697100 is 179660112012.

It is a super-2 number, since 2×21021106697100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 578772741 + ... + 578809059.

Almost surely, 2^{21021106697100} is an apocalyptic number.

21021106697100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021106697100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34516924108800).

21021106697100 is an abundant number, since it is smaller than the sum of its proper divisors (48012741520500).

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

21021106697100 is a wasteful number, since it uses less digits than its factorization.

21021106697100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950 (or 40937 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 21021106697100 in words is "twenty-one trillion, twenty-one billion, one hundred six million, six hundred ninety-seven thousand, one hundred".