100102101220 has 48 divisors (see below), whose sum is σ = 229354828416. Its totient is φ = 36396000000.

The previous prime is 100102101199. The next prime is 100102101221. The reversal of 100102101220 is 22101201001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102101197 and 100102101206.

It is not an unprimeable number, because it can be changed into a prime (100102101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1954945 + ... + 2005495.

It is an arithmetic number, because the mean of its divisors is an integer number (4778225592).

Almost surely, 2^100102101220 is an apocalyptic number.

100102101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102101220 is an abundant number, since it is smaller than the sum of its proper divisors (129252727196).

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

100102101220 is a wasteful number, since it uses less digits than its factorization.

100102101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59572 (or 59570 counting only the distinct ones).

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

Adding to 100102101220 its reverse (22101201001), we get a palindrome (122203302221).

The spelling of 100102101220 in words is "one hundred billion, one hundred two million, one hundred one thousand, two hundred twenty".