2101121000000 has 392 divisors, whose sum is σ = 5715641213856. Its totient is φ = 760000000000.

The previous prime is 2101120999951. The next prime is 2101121000021. The reversal of 2101121000000 is 1211012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2760999620 + ... + 2761000380.

Almost surely, 2^{2101121000000} is an apocalyptic number.

2101121000000 is a gapful number since it is divisible by the number (20) 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 2101121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857820606928).

2101121000000 is an abundant number, since it is smaller than the sum of its proper divisors (3614520213856).

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

2101121000000 is an frugal number, since it uses more digits than its factorization.

2101121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101121000000 its reverse (1211012), we get a palindrome (2101122211012).

The spelling of 2101121000000 in words is "two trillion, one hundred one billion, one hundred twenty-one million", and thus it is an aban number.