10211012001010 has 8 divisors (see below), whose sum is σ = 18379821601836. Its totient is φ = 4084404800400.

The previous prime is 10211012000999. The next prime is 10211012001011. The reversal of 10211012001010 is 1010021011201.

It can be written as a sum of positive squares in 2 ways, for example, as 8724834011089 + 1486177989921 = 2953783^2 + 1219089^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×10211012001010³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 1021101200101 = 10211012001010 / (1 + 0 + 2 + 1 + 1 + 0 + 1 + 2 + 0 + 0 + 1 + 0 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (10211012001011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 510550600041 + ... + 510550600060.

Almost surely, 2^{10211012001010} is an apocalyptic number.

10211012001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211012001010 is a deficient number, since it is larger than the sum of its proper divisors (8168809600826).

10211012001010 is a wasteful number, since it uses less digits than its factorization.

10211012001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021101200108.

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

Adding to 10211012001010 its reverse (1010021011201), we get a palindrome (11221033012211).

It can be divided in two parts, 1021101 and 2001010, that added together give a triangular number (3022111 = T₂₄₅₈).

The spelling of 10211012001010 in words is "ten trillion, two hundred eleven billion, twelve million, one thousand, ten".