100010021020 has 96 divisors (see below), whose sum is σ = 260199991296. Its totient is φ = 31441824000.

The previous prime is 100010021003. The next prime is 100010021029. The reversal of 100010021020 is 20120010001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100010020994 and 100010021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010021029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92865 + ... + 456775.

It is an arithmetic number, because the mean of its divisors is an integer number (2710416576).

Almost surely, 2^100010021020 is an apocalyptic number.

100010021020 is a gapful number since it is divisible by the number (10) 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 100010021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130099995648).

100010021020 is an abundant number, since it is smaller than the sum of its proper divisors (160189970276).

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

100010021020 is a wasteful number, since it uses less digits than its factorization.

100010021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364091 (or 364089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100010021020 its reverse (20120010001), we get a palindrome (120130031021).

The spelling of 100010021020 in words is "one hundred billion, ten million, twenty-one thousand, twenty".