1011121210000 has 400 divisors, whose sum is σ = 2717608436928. Its totient is φ = 361267200000.

The previous prime is 1011121209977. The next prime is 1011121210039. The reversal of 1011121210000 is 121211101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1011121210000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2059309755 + ... + 2059310245.

Almost surely, 2^{1011121210000} is an apocalyptic number.

1011121210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358804218464).

1011121210000 is an abundant number, since it is smaller than the sum of its proper divisors (1706487226928).

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

1011121210000 is a wasteful number, since it uses less digits than its factorization.

1011121210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 799 counting only the distinct ones).

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

Adding to 1011121210000 its reverse (121211101), we get a palindrome (1011242421101).

The spelling of 1011121210000 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred ten thousand".