102132213001010 has 32 divisors (see below), whose sum is σ = 184068583170480. Its totient is φ = 40801642656768.

The previous prime is 102132213001003. The next prime is 102132213001037. The reversal of 102132213001010 is 10100312231201.

It can be written as a sum of positive squares in 8 ways, for example, as 43992457247761 + 58139755753249 = 6632681^2 + 7624943^2 .

It is a super-2 number, since 2×102132213001010² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102132213001010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726678704 + ... + 726819236.

Almost surely, 2^{102132213001010} is an apocalyptic number.

102132213001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132213001010 is a deficient number, since it is larger than the sum of its proper divisors (81936370169470).

102132213001010 is a wasteful number, since it uses less digits than its factorization.

102132213001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231182.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102132213001010 its reverse (10100312231201), we get a palindrome (112232525232211).

The spelling of 102132213001010 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred thirteen million, one thousand, ten".