1202100102000 has 1920 divisors, whose sum is σ = 5201487083520. Its totient is φ = 262667059200.

The previous prime is 1202100101981. The next prime is 1202100102017. The reversal of 1202100102000 is 2010012021.

It is a super-3 number, since 3×1202100102000³ (a number of 37 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10638053944 + ... + 10638054056.

It is an arithmetic number, because the mean of its divisors is an integer number (2709107856).

Almost surely, 2^{1202100102000} is an apocalyptic number.

1202100102000 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 1202100102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600743541760).

1202100102000 is an abundant number, since it is smaller than the sum of its proper divisors (3999386981520).

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

1202100102000 is a wasteful number, since it uses less digits than its factorization.

1202100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1202100102000 its reverse (2010012021), we get a palindrome (1204110114021).

The spelling of 1202100102000 in words is "one trillion, two hundred two billion, one hundred million, one hundred two thousand".