2101121101002 has 64 divisors (see below), whose sum is σ = 5366943525888. Its totient is φ = 532434864000.

The previous prime is 2101121100983. The next prime is 2101121101039. The reversal of 2101121101002 is 2001011211012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55443024 + ... + 55480907.

It is an arithmetic number, because the mean of its divisors is an integer number (83858492592).

Almost surely, 2^{2101121101002} is an apocalyptic number.

2101121101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2101121101002 is an abundant number, since it is smaller than the sum of its proper divisors (3265822424886).

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

2101121101002 is a wasteful number, since it uses less digits than its factorization.

2101121101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110923995.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101121101002 its reverse (2001011211012), we get a palindrome (4102132312014).

The spelling of 2101121101002 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, two".