102100001121000 has 320 divisors, whose sum is σ = 357472970712000. Its totient is φ = 27182668694400.

The previous prime is 102100001120951. The next prime is 102100001121017. The reversal of 102100001121000 is 121100001201.

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 79 ways as a sum of consecutive naturals, for example, 49120831 + ... + 51157169.

It is an arithmetic number, because the mean of its divisors is an integer number (1117103033475).

Almost surely, 2^{102100001121000} is an apocalyptic number.

102100001121000 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 102100001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178736485356000).

102100001121000 is an abundant number, since it is smaller than the sum of its proper divisors (255372969591000).

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

102100001121000 is a wasteful number, since it uses less digits than its factorization.

102100001121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036991 (or 2036968 counting only the distinct ones).

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

Adding to 102100001121000 its reverse (121100001201), we get a palindrome (102221101122201).

The spelling of 102100001121000 in words is "one hundred two trillion, one hundred billion, one million, one hundred twenty-one thousand".