102101211002120 has 256 divisors, whose sum is σ = 279392886835200. Its totient is φ = 33095941632000.

The previous prime is 102101211002107. The next prime is 102101211002159. The reversal of 102101211002120 is 21200112101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101211002095 and 102101211002104.

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, 555739475 + ... + 555923165.

It is an arithmetic number, because the mean of its divisors is an integer number (1091378464200).

Almost surely, 2^{102101211002120} is an apocalyptic number.

102101211002120 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 102101211002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139696443417600).

102101211002120 is an abundant number, since it is smaller than the sum of its proper divisors (177291675833080).

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

102101211002120 is a wasteful number, since it uses less digits than its factorization.

102101211002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187660 (or 187656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101211002120 its reverse (21200112101201), we get a palindrome (123301323103321).

The spelling of 102101211002120 in words is "one hundred two trillion, one hundred one billion, two hundred eleven million, two thousand, one hundred twenty".