102121102111002 has 64 divisors (see below), whose sum is σ = 221926470554880. Its totient is φ = 31140040909824.

The previous prime is 102121102110983. The next prime is 102121102111037. The reversal of 102121102111002 is 200111201121201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72609499 + ... + 74002577.

It is an arithmetic number, because the mean of its divisors is an integer number (3467601102420).

Almost surely, 2^{102121102111002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121102111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110963235277440).

102121102111002 is an abundant number, since it is smaller than the sum of its proper divisors (119805368443878).

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

102121102111002 is a wasteful number, since it uses less digits than its factorization.

102121102111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401527.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121102111002 its reverse (200111201121201), we get a palindrome (302232303232203).

The spelling of 102121102111002 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred two million, one hundred eleven thousand, two".