100102022002220 has 48 divisors (see below), whose sum is σ = 240272761942080. Its totient is φ = 34316706238464.

The previous prime is 100102022002217. The next prime is 100102022002223. The reversal of 100102022002220 is 22200220201001.

It is an interprime number because it is at equal distance from previous prime (100102022002217) and next prime (100102022002223).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100102022002195 and 100102022002204.

It is not an unprimeable number, because it can be changed into a prime (100102022002223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40321889 + ... + 42732408.

It is an arithmetic number, because the mean of its divisors is an integer number (5005682540460).

Almost surely, 2^{100102022002220} is an apocalyptic number.

100102022002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102022002220 is an abundant number, since it is smaller than the sum of its proper divisors (140170739939860).

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

100102022002220 is a wasteful number, since it uses less digits than its factorization.

100102022002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83062922 (or 83062920 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100102022002220 its reverse (22200220201001), we get a palindrome (122302242203221).

The spelling of 100102022002220 in words is "one hundred trillion, one hundred two billion, twenty-two million, two thousand, two hundred twenty".