100021101264 has 480 divisors, whose sum is σ = 350944323840. Its totient is φ = 26711949312.

The previous prime is 100021101251. The next prime is 100021101283. The reversal of 100021101264 is 462101120001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 168669352 + ... + 168669944.

It is an arithmetic number, because the mean of its divisors is an integer number (731134008).

Almost surely, 2^100021101264 is an apocalyptic number.

100021101264 is a gapful number since it is divisible by the number (14) 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 100021101264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175472161920).

100021101264 is an abundant number, since it is smaller than the sum of its proper divisors (250923222576).

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

100021101264 is a wasteful number, since it uses less digits than its factorization.

100021101264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100021101264 its reverse (462101120001), we get a palindrome (562122221265).

The spelling of 100021101264 in words is "one hundred billion, twenty-one million, one hundred one thousand, two hundred sixty-four".