102121001011110 has 128 divisors (see below), whose sum is σ = 249596489834496. Its totient is φ = 26735073684480.

The previous prime is 102121001011093. The next prime is 102121001011151. The reversal of 102121001011110 is 11110100121201.

It is a super-2 number, since 2×102121001011110² (a number of 29 digits) contains 22 as substring.

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, 6687242775 + ... + 6687258045.

It is an arithmetic number, because the mean of its divisors is an integer number (1949972576832).

Almost surely, 2^{102121001011110} is an apocalyptic number.

102121001011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121001011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798244917248).

102121001011110 is an abundant number, since it is smaller than the sum of its proper divisors (147475488823386).

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

102121001011110 is a wasteful number, since it uses less digits than its factorization.

102121001011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29270.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102121001011110 its reverse (11110100121201), we get a palindrome (113231101132311).

The spelling of 102121001011110 in words is "one hundred two trillion, one hundred twenty-one billion, one million, eleven thousand, one hundred ten".