102101012001000 has 320 divisors, whose sum is σ = 356925522919680. Its totient is φ = 27224971171200.

The previous prime is 102101012000989. The next prime is 102101012001029. The reversal of 102101012001000 is 100210101201.

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, 1380770029 + ... + 1380843971.

It is an arithmetic number, because the mean of its divisors is an integer number (1115392259124).

Almost surely, 2^{102101012001000} is an apocalyptic number.

102101012001000 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 102101012001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178462761459840).

102101012001000 is an abundant number, since it is smaller than the sum of its proper divisors (254824510918680).

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

102101012001000 is a wasteful number, since it uses less digits than its factorization.

102101012001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91023 (or 91000 counting only the distinct ones).

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

Adding to 102101012001000 its reverse (100210101201), we get a palindrome (102201222102201).

The spelling of 102101012001000 in words is "one hundred two trillion, one hundred one billion, twelve million, one thousand".