102012011002220 has 96 divisors (see below), whose sum is σ = 234298340640000. Its totient is φ = 37000423123200.

The previous prime is 102012011002193. The next prime is 102012011002247. The reversal of 102012011002220 is 22200110210201.

It is an interprime number because it is at equal distance from previous prime (102012011002193) and next prime (102012011002247).

It is a junction number, because it is equal to n+sod(n) for n = 102012011002195 and 102012011002204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198555026 + ... + 199068134.

It is an arithmetic number, because the mean of its divisors is an integer number (2440607715000).

Almost surely, 2^{102012011002220} is an apocalyptic number.

102012011002220 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 102012011002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117149170320000).

102012011002220 is an abundant number, since it is smaller than the sum of its proper divisors (132286329637780).

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

102012011002220 is a wasteful number, since it uses less digits than its factorization.

102012011002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515439 (or 515437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102012011002220 its reverse (22200110210201), we get a palindrome (124212121212421).

The spelling of 102012011002220 in words is "one hundred two trillion, twelve billion, eleven million, two thousand, two hundred twenty".