1022101110000 has 150 divisors (see below), whose sum is σ = 3574435533240. Its totient is φ = 272560272000.

The previous prime is 1022101109983. The next prime is 1022101110001. The reversal of 1022101110000 is 111012201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-3 number, since 3×1022101110000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022101110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5588340 + ... + 5768339.

Almost surely, 2^{1022101110000} is an apocalyptic number.

1022101110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022101110000 is an abundant number, since it is smaller than the sum of its proper divisors (2552334423240).

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

1022101110000 is a wasteful number, since it uses less digits than its factorization.

1022101110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356713 (or 11356689 counting only the distinct ones).

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

Adding to 1022101110000 its reverse (111012201), we get a palindrome (1022212122201).

The spelling of 1022101110000 in words is "one trillion, twenty-two billion, one hundred one million, one hundred ten thousand".