102011121001332 has 120 divisors (see below), whose sum is σ = 270669244817664. Its totient is φ = 33494732713728.

The previous prime is 102011121001217. The next prime is 102011121001337. The reversal of 102011121001332 is 233100121110201.

102011121001332 is a `hidden beast` number, since 10 + 2 + 0 + 111 + 210 + 0 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011121001337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 573371293 + ... + 573549179.

Almost surely, 2^{102011121001332} is an apocalyptic number.

102011121001332 is a gapful number since it is divisible by the number (12) 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 102011121001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135334622408832).

102011121001332 is an abundant number, since it is smaller than the sum of its proper divisors (168658123816332).

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

102011121001332 is a wasteful number, since it uses less digits than its factorization.

102011121001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204387 (or 204376 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102011121001332 its reverse (233100121110201), we get a palindrome (335111242111533).

The spelling of 102011121001332 in words is "one hundred two trillion, eleven billion, one hundred twenty-one million, one thousand, three hundred thirty-two".