10001121210 has 48 divisors (see below), whose sum is σ = 26052946920. Its totient is φ = 2661834240.

The previous prime is 10001121197. The next prime is 10001121223. The reversal of 10001121210 is 1212110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001121197) and next prime (10001121223).

It can be written as a sum of positive squares in 4 ways, for example, as 3416285601 + 6584835609 = 58449^2 + 81147^2 .

It is a super-2 number, since 2×10001121210² (a number of 21 digits) contains 22 as substring.

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 = 10001121192 and 10001121201.

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, 59755 + ... + 153534.

Almost surely, 2^10001121210 is an apocalyptic number.

10001121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001121210 is an abundant number, since it is smaller than the sum of its proper divisors (16051825710).

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

10001121210 is a wasteful number, since it uses less digits than its factorization.

10001121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213823 (or 213820 counting only the distinct ones).

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

Adding to 10001121210 its reverse (1212110001), we get a palindrome (11213231211).

The spelling of 10001121210 in words is "ten billion, one million, one hundred twenty-one thousand, two hundred ten".