10211000002100 has 18 divisors (see below), whose sum is σ = 22157870004774. Its totient is φ = 4084400000800.

The previous prime is 10211000002097. The next prime is 10211000002103. The reversal of 10211000002100 is 120000011201.

It is an interprime number because it is at equal distance from previous prime (10211000002097) and next prime (10211000002103).

It can be written as a sum of positive squares in 3 ways, for example, as 228964164004 + 9982035838096 = 478502^2 + 3159436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211000002103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51054999911 + ... + 51055000110.

It is an arithmetic number, because the mean of its divisors is an integer number (1230992778043).

Almost surely, 2^{10211000002100} is an apocalyptic number.

10211000002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211000002100 is an abundant number, since it is smaller than the sum of its proper divisors (11946870002674).

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

10211000002100 is a wasteful number, since it uses less digits than its factorization.

10211000002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102110000035 (or 102110000028 counting only the distinct ones).

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

Adding to 10211000002100 its reverse (120000011201), we get a palindrome (10331000013301).

The spelling of 10211000002100 in words is "ten trillion, two hundred eleven billion, two thousand, one hundred".