102120100101000 has 384 divisors, whose sum is σ = 345877917315840. Its totient is φ = 27175917312000.

The previous prime is 102120100100983. The next prime is 102120100101013. The reversal of 102120100101000 is 101001021201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9289551504 + ... + 9289562496.

It is an arithmetic number, because the mean of its divisors is an integer number (900723743010).

Almost surely, 2^{102120100101000} is an apocalyptic number.

102120100101000 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 102120100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172938958657920).

102120100101000 is an abundant number, since it is smaller than the sum of its proper divisors (243757817214840).

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

102120100101000 is a wasteful number, since it uses less digits than its factorization.

102120100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102120100101000 its reverse (101001021201), we get a palindrome (102221101122201).

The spelling of 102120100101000 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, one hundred one thousand".