10201121100010 has 64 divisors (see below), whose sum is σ = 18807851220480. Its totient is φ = 3982684492800.

The previous prime is 10201121099977. The next prime is 10201121100047. The reversal of 10201121100010 is 1000112110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10201121100010.

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, 51205554 + ... + 51404386.

It is an arithmetic number, because the mean of its divisors is an integer number (293872675320).

Almost surely, 2^{10201121100010} is an apocalyptic number.

10201121100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201121100010 is a deficient number, since it is larger than the sum of its proper divisors (8606730120470).

10201121100010 is a wasteful number, since it uses less digits than its factorization.

10201121100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199663.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201121100010 its reverse (1000112110201), we get a palindrome (11201233210211).

The spelling of 10201121100010 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand, ten".