11012102101000 has 512 divisors, whose sum is σ = 34751153848320. Its totient is φ = 3154294656000.

The previous prime is 11012102100983. The next prime is 11012102101027. The reversal of 11012102101000 is 10120121011.

It is a super-2 number, since 2×11012102101000² (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 227202769 + ... + 227251231.

It is an arithmetic number, because the mean of its divisors is an integer number (67873347360).

Almost surely, 2^{11012102101000} is an apocalyptic number.

11012102101000 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 11012102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375576924160).

11012102101000 is an abundant number, since it is smaller than the sum of its proper divisors (23739051747320).

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

11012102101000 is a wasteful number, since it uses less digits than its factorization.

11012102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48742 (or 48728 counting only the distinct ones).

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

Adding to 11012102101000 its reverse (10120121011), we get a palindrome (11022222222011).

The spelling of 11012102101000 in words is "eleven trillion, twelve billion, one hundred two million, one hundred one thousand".