2100121100010 has 48 divisors (see below), whose sum is σ = 5607890946216. Its totient is φ = 544896284544.

The previous prime is 2100121100003. The next prime is 2100121100023. The reversal of 2100121100010 is 100011210012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1381290130089 + 718830969921 = 1175283^2 + 847839^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2100121099965 and 2100121100001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315330169 + ... + 315336828.

Almost surely, 2^{2100121100010} is an apocalyptic number.

2100121100010 is an abundant number, since it is smaller than the sum of its proper divisors (3507769846206).

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

2100121100010 is a wasteful number, since it uses less digits than its factorization.

2100121100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630667047 (or 630667044 counting only the distinct ones).

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

Adding to 2100121100010 its reverse (100011210012), we get a palindrome (2200132310022).

The spelling of 2100121100010 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, ten".