10102121988 has 96 divisors (see below), whose sum is σ = 27698490624. Its totient is φ = 2805124608.

The previous prime is 10102121987. The next prime is 10102122059. The reversal of 10102121988 is 88912120101.

It is not an unprimeable number, because it can be changed into a prime (10102121987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4514806 + ... + 4517042.

It is an arithmetic number, because the mean of its divisors is an integer number (288525944).

Almost surely, 2^10102121988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102121988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849245312).

10102121988 is an abundant number, since it is smaller than the sum of its proper divisors (17596368636).

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

10102121988 is a wasteful number, since it uses less digits than its factorization.

10102121988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 10102121988 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, nine hundred eighty-eight".