21226877100 has 864 divisors, whose sum is σ = 83532653568. Its totient is φ = 4435200000.

The previous prime is 21226877099. The next prime is 21226877129. The reversal of 21226877100 is 177862212.

It is a super-2 number, since 2×21226877100² (a number of 21 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 287 ways as a sum of consecutive naturals, for example, 210167050 + ... + 210167150.

It is an arithmetic number, because the mean of its divisors is an integer number (96681312).

Almost surely, 2^21226877100 is an apocalyptic number.

21226877100 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 21226877100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41766326784).

21226877100 is an abundant number, since it is smaller than the sum of its proper divisors (62305776468).

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

21226877100 is a wasteful number, since it uses less digits than its factorization.

21226877100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 21226877100 in words is "twenty-one billion, two hundred twenty-six million, eight hundred seventy-seven thousand, one hundred".