10001211021000 has 192 divisors, whose sum is σ = 35056097556480. Its totient is φ = 2666989540800.

The previous prime is 10001211020951. The next prime is 10001211021001. The reversal of 10001211021000 is 12011210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001211021001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20335624 + ... + 20821623.

It is an arithmetic number, because the mean of its divisors is an integer number (182583841440).

Almost surely, 2^{10001211021000} is an apocalyptic number.

10001211021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001211021000 is an abundant number, since it is smaller than the sum of its proper divisors (25054886535480).

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

10001211021000 is an equidigital number, since it uses as much as digits as its factorization.

10001211021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41157283 (or 41157257 counting only the distinct ones).

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

Adding to 10001211021000 its reverse (12011210001), we get a palindrome (10013222231001).

The spelling of 10001211021000 in words is "ten trillion, one billion, two hundred eleven million, twenty-one thousand".