102101011122000 has 320 divisors, whose sum is σ = 359176371240960. Its totient is φ = 24746395456000.

The previous prime is 102101011121981. The next prime is 102101011122013. The reversal of 102101011122000 is 221110101201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 308648689 + ... + 308979311.

It is an arithmetic number, because the mean of its divisors is an integer number (1122426160128).

Almost surely, 2^{102101011122000} is an apocalyptic number.

102101011122000 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 102101011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179588185620480).

102101011122000 is an abundant number, since it is smaller than the sum of its proper divisors (257075360118960).

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

102101011122000 is a wasteful number, since it uses less digits than its factorization.

102101011122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335339 (or 335323 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101011122000 its reverse (221110101201), we get a palindrome (102322121223201).

The spelling of 102101011122000 in words is "one hundred two trillion, one hundred one billion, eleven million, one hundred twenty-two thousand".