102213214013000 has 64 divisors (see below), whose sum is σ = 239180851728000. Its totient is φ = 40884955531200.

The previous prime is 102213214012999. The next prime is 102213214013003. The reversal of 102213214013000 is 310412312201.

It is a super-2 number, since 2×102213214013000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (102213214013003) 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, 151450301 + ... + 152123699.

It is an arithmetic number, because the mean of its divisors is an integer number (3737200808250).

Almost surely, 2^{102213214013000} is an apocalyptic number.

102213214013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213214013000 is an abundant number, since it is smaller than the sum of its proper divisors (136967637715000).

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

102213214013000 is a wasteful number, since it uses less digits than its factorization.

102213214013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825207 (or 825193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102213214013000 its reverse (310412312201), we get a palindrome (102523626325201).

The spelling of 102213214013000 in words is "one hundred two trillion, two hundred thirteen billion, two hundred fourteen million, thirteen thousand".