1001210022100 has 18 divisors (see below), whose sum is σ = 2172625748174. Its totient is φ = 400484008800.

The previous prime is 1001210022073. The next prime is 1001210022107. The reversal of 1001210022100 is 12200121001.

It can be written as a sum of positive squares in 3 ways, for example, as 161747524 + 1001048274576 = 12718^2 + 1000524^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001210022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5006050011 + ... + 5006050210.

Almost surely, 2^{1001210022100} is an apocalyptic number.

1001210022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001210022100 is an abundant number, since it is smaller than the sum of its proper divisors (1171415726074).

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

1001210022100 is a wasteful number, since it uses less digits than its factorization.

1001210022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012100235 (or 10012100228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001210022100 its reverse (12200121001), we get a palindrome (1013410143101).

The spelling of 1001210022100 in words is "one trillion, one billion, two hundred ten million, twenty-two thousand, one hundred".