102132221031120 has 320 divisors, whose sum is σ = 366351272017920. Its totient is φ = 23055208243200.

The previous prime is 102132221031091. The next prime is 102132221031131. The reversal of 102132221031120 is 21130122231201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43457400 + ... + 45747240.

It is an arithmetic number, because the mean of its divisors is an integer number (1144847725056).

Almost surely, 2^{102132221031120} is an apocalyptic number.

102132221031120 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 102132221031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183175636008960).

102132221031120 is an abundant number, since it is smaller than the sum of its proper divisors (264219050986800).

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

102132221031120 is a wasteful number, since it uses less digits than its factorization.

102132221031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290194 (or 2290188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102132221031120 its reverse (21130122231201), we get a palindrome (123262343262321).

The spelling of 102132221031120 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred twenty-one million, thirty-one thousand, one hundred twenty".